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The multiple-path orienteering problem asks for paths for a team of robots that maximize the total reward collected while satisfying budget constraints on the path length. This problem models many multi-robot routing tasks such as exploring…

机器人学 · 计算机科学 2021-12-02 Guangyao Shi , Lifeng Zhou , Pratap Tokekar

Temporal dependencies between customer visits, such as synchronization constraints, pose a fundamental challenge in vehicle routing. These dependencies, which arise in applications such as home healthcare routing, aircraft scheduling, and…

最优化与控制 · 数学 2026-04-20 Loek van Montfort , Markus Leitner , Rosario Paradiso

We propose a novel non-linear extension to the Orienteering Problem (OP), called the Correlated Orienteering Problem (COP). We use COP to model the planning of informative tours for the persistent monitoring of a spatiotemporal field with…

机器人学 · 计算机科学 2014-12-16 Jingjin Yu , Mac Schwager , Daniela Rus

Given a graph with edge costs and vertex profits and given a budget B, the Orienteering Problem asks for a walk of cost at most B of maximum profit. Additionally, each profit may be given with a time window within it can be collected by the…

数据结构与算法 · 计算机科学 2024-10-17 Kevin Buchin , Mart Hagedoorn , Guangping Li , Carolin Rehs

The cost-distance Steiner tree problem seeks a Steiner tree that minimizes the total congestion cost plus the weighted sum of source-sink delays. This problem arises as a subroutine in timing-constrained global routing with a linear delay…

数据结构与算法 · 计算机科学 2025-03-07 Stephan Held , Edgar Perner

In the last years, a growing number of challenging applications in navigation, logistics, and tourism were modeled as orienteering problems. This problem has been proposed in relation to a sport race where certain control points must be…

最优化与控制 · 数学 2022-01-04 Fabio Bagagiolo , Adriano Festa , Luciano Marzufero

Generating overtaking trajectories in high-speed scenarios is typically addressed through hierarchical planning, which often suffers from local optima due to single initial solutions and low computational efficiency during numerical…

机器人学 · 计算机科学 2026-05-14 Wule Mao , Zhouheng Li , Entao Sun , Lei Xie , Hongye Su

We present an algorithm that produces a plan for relocating obstacles in order to grasp a target in clutter by a robotic manipulator without collisions. We consider configurations where objects are densely populated in a constrained and…

机器人学 · 计算机科学 2019-02-20 Jinhwi Lee , Younggil Cho , Changjoo Nam , Jonghyeon Park , Changhwan Kim

Optimal transport (OT) distances are finding evermore applications in machine learning and computer vision, but their wide spread use in larger-scale problems is impeded by their high computational cost. In this work we develop a family of…

机器学习 · 统计学 2018-03-06 Brahim Khalil Abid , Robert M. Gower

The Stacker Crane Problem (SCP) is a variant of the Traveling Salesman Problem. In SCP, pairs of pickup and delivery points are designated on a graph, and a crane must visit these points to move objects from each pickup location to its…

数据结构与算法 · 计算机科学 2025-09-18 Yike Chen , Ke Shi , Chao Xu

We give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

数据结构与算法 · 计算机科学 2019-12-03 Thomas Bosman , Neil Olver

We present a new problem called the incomplete Traveling Tournament problem, which introduces the well known Traveling Tournament Problem into the realm of incomplete round-robin tournaments. We focus on the case where teams can face each…

最优化与控制 · 数学 2026-03-23 Karel Devriesere , David Van Bulck , Dries Goossens

This paper proposes an efficient HOT algorithm for solving the optimal transport (OT) problems with finite supports. We particularly focus on an efficient implementation of the HOT algorithm for the case where the supports are in…

最优化与控制 · 数学 2025-04-17 Guojun Zhang , Zhexuan Gu , Yancheng Yuan , Defeng Sun

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

数据结构与算法 · 计算机科学 2015-04-27 Viswanath Nagarajan , Cong Shi

Optimal transport (OT) finds a least cost transport plan between two probability distributions using a cost matrix defined on pairs of points. Unlike standard OT, which infers unstructured pointwise mappings, low-rank optimal transport…

机器学习 · 计算机科学 2026-03-05 Henri Schmidt , Peter Halmos , Ben Raphael

In this paper, we investigate a special case of the static aircraft landing problem (ALP) with the objective to optimize landing sequences and landing times for a set of air planes. The problem is to land the planes on one or multiple…

数据结构与算法 · 计算机科学 2016-11-18 Abhishek Awasthi , Oliver Kramer , Jörg Lässig

The input to the stochastic orienteering problem consists of a budget $B$ and metric $(V,d)$ where each vertex $v$ has a job with deterministic reward and random processing time (drawn from a known distribution). The processing times are…

数据结构与算法 · 计算机科学 2014-05-12 Nikhil Bansal , Viswanath Nagarajan

We introduce and study the problem in which a mobile sensing robot (our tourist) is tasked to travel among and gather intelligence at a set of spatially distributed point-of-interests (POIs). The quality of the information collected at each…

机器人学 · 计算机科学 2014-10-10 Jingjin Yu , Javed Aslam , Sertac Karaman , Daniela Rus

Time-Dependent Constrained Path Optimization (TD-CPO) takes the following input: (i) time-dependent (TD) road network, (ii) source ($s$), (iii) destination ($d$), (iv) departure time ($t$) and, (v) budget ($\mathcal{B}$). In TD graph, each…

其他计算机科学 · 计算机科学 2024-09-27 Kousik Kumar Dutta , Venkata M. V. Gunturi

This paper introduces a new paradigm of optimal path planning, i.e., passage-traversing optimal path planning (PTOPP), that optimizes paths' traversed passages for specified optimization objectives. In particular, PTOPP is utilized to find…

机器人学 · 计算机科学 2026-01-01 Jing Huang , Hao Su , Kwok Wai Samuel Au